The Cauchy problem for Schrödinger flows into Kähler manifolds

We prove local well-posedness of the Schrödinger flow from ℝ n into a compact Kähler manifold N with initial data in H[superscript s+1] (ℝ[superscript n],N) for 3≥ [n/2]+4.

Bibliographic Details
Main Authors: Toro, Tatiana, Staffilani, Gigliola, Pollack, Daniel, Lamm, Tobias, Kenig, Carlos
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Published: American Institute of Mathematical Sciences (AIMS) 2018
Online Access:http://hdl.handle.net/1721.1/116029
https://orcid.org/0000-0002-8220-4466